\section{Predicting}
After the long process of pre-processing, calculating the single value decomposition and training the model to minimize the error rating the final phase is to predict users ratings. With the model learned is it matter of running the matrix factorization for the user and movie to calculate the result prediction. This is done through the following formula:
\[
\hat{R} \approx \sum_{k=1}^{k} A_{mk} B_{ku}
\]
When calculating the prediction it is necessary to add the user bias which earlier was removed in the pre-processing state.